This section helps you design math tasks that go beyond procedures and promote deeper thinking. The tasks are grouped into seven key types, each with an example of how you can prompt AI to help you generate that type of task β using two-step equations as the base concept:
π Analyzing β Interpret patterns, processes, or outcomes
π£ Prompt: βCreate a task where students must analyze two similar two-step equations and explain why they have the same solution.β
π Linking Representations β Connect graphs, tables, equations, and descriptions
π£ Prompt: βMake a task where students match two-step equations to their verbal descriptions, solution steps, and visual models.β
π Correcting Mistakes β Identify and explain errors in reasoning
π£ Prompt: βWrite a task where a student solved a two-step equation incorrectly. Ask students to identify and correct the mistake.β
π§© Classifying β Group or sort based on mathematical properties
π£ Prompt: βDesign a task where students classify equations based on the type of operations used.β
βοΈ Creating Problems β Design new problems based on rules or conditions
π£ Prompt: βAsk students to create their own two-step equation that has a solution of x = 4 and explain their reasoning.β
π Thinslicing β Start simple, then increase complexity or precision
π£ Prompt: βMake a task that asks a student to find a solution for the inequality using whole numbers, then extends it to decimals and then to fractions.β
πΌ Multiple Representations β Show the same idea in different formats
π£ Prompt: βCreate a task where students solve a two-step equation and represent the solution on a number lineβ
These prompts are quick to adapt and can help you build high-quality, thinking-rich tasks with just a few adjustments.
EXAMPLES:
Correcting mistakes (doc)
Transformation - Approximating the solutionΒ